5440353600 has 1008 divisors, whose sum is σ = 22620427200. Its totient is φ = 1135411200.

The previous prime is 5440353563. The next prime is 5440353613. The reversal of 5440353600 is 63530445.

5440353600 = 486² + 487² + ... + 2542².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187598386 + ... + 187598414.

It is an arithmetic number, because the mean of its divisors is an integer number (22440900).

Almost surely, 2^5440353600 is an apocalyptic number.

5440353600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11310213600).

5440353600 is an abundant number, since it is smaller than the sum of its proper divisors (17180073600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5440353600 is a wasteful number, since it uses less digits than its factorization.

5440353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5440353600 is about 73758.7527009507. The cubic root of 5440353600 is about 1758.7699738948.

The spelling of 5440353600 in words is "five billion, four hundred forty million, three hundred fifty-three thousand, six hundred".